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You searched for: creator:"David Shea"
[audio]Australian Confidence as Artists - David Shea
A lecture by David Shea at the Centre for Ideas at the Victorian College of the Arts.
Keywords: art; confidence; australia; america
Downloads: 34
[unknown]Prisoner - David Shea

Downloads: 5
[texts]The Dabistan Or School Of Manners - David Shea

Keywords: Religion
Downloads: 190
[unknown]The Art of Memory - David Shea

Downloads: 13
[texts]The Dabistan Or School Of Manners - David Shea

Keywords: Religion
Downloads: 1,049
[texts]The Dabistan - David Shea

Keywords: Religion
Downloads: 1,964 3.00 out of 5 stars3.00 out of 5 stars3.00 out of 5 stars(2 reviews)
[texts]On the transverse invariant for bindings of open books - David Shea Vela-Vick
Consider a transverse knot which is the binding of an open book for the ambient contact manifold. In this paper, we show that the transverse invariants defined by Lisca, Ozsvath, Stipsicz, and Szabo (LOSS) are nonvanishing for such transverse knots. This is true regardless of whether or not the ambient contact structure is tight. We also prove a vanishing theorem for LOSS's Legendrian and transverse invariants...
Downloads: 2
[texts]Oriental Literature The Dabistan Or School Of Manners - David Shea

Downloads: 2,619
[texts]Legendrian contact homology and nondestabilizability - Clayton Shonkwiler
We provide the first example of a Legendrian knot with nonvanishing contact homology whose Thurston-Bennequin invariant is not maximal.
Downloads: 2
[texts]Torsion and Open Book Decompositions - John B. Etnyre
We show that if (B,\pi) is an open book decomposition of a contact 3-manifold (Y,\xi), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book is non-zero.
Downloads: 5
[texts]Higher-dimensional linking integrals - Clayton Shonkwiler
We derive an integral formula for the linking number of two submanifolds of the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear as "nice" hypersurfaces in Euclidean space. The formulas are geometrically meaningful in that they are invariant under the action of the special orthogonal group on the ambient space.
Downloads: 3
[texts]On the equivalence of Legendrian and transverse invariants in knot Floer homology - John A. Baldwin
Using the grid diagram formulation of knot Floer homology, Ozsvath, Szabo and Thurston defined an invariant of transverse knots in the tight contact 3-sphere. Shortly afterwards, Lisca, Ozsvath, Stipsicz and Szabo defined an invariant of transverse knots in arbitrary contact 3-manifolds using open book decompositions. It has been conjectured that these invariants agree where they are both defined. We prove this fact by defining yet another invariant of transverse knots, showing that this third i...
Downloads: 3
[texts]Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, Part 2 - Dennis DeTurck
We describe a new approach to triple linking invariants and integrals, aiming for a simpler, wider and more natural applicability to the search for higher order helicities of fluid flows and magnetic fields. To each three-component link in Euclidean 3-space, we associate a geometrically natural generalized Gauss map from the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple linking number that classify the link up to link homotopy correspond to the Pontryagin ...
Downloads: 4
[texts]Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links - Dennis DeTurck
Three-component links in the 3-dimensional sphere were classified up to link homotopy by John Milnor in his senior thesis, published in 1954. A complete set of invariants is given by the pairwise linking numbers p, q and r of the components, and by the residue class of one further integer mu, the "triple linking number" of the title, which is well-defined modulo the greatest common divisor of p, q and r...
Downloads: 10
[texts]Pontryagin invariants and integral formulas for Milnor's triple linking number - Dennis DeTurck
To each three-component link in the 3-sphere, we associate a geometrically natural characteristic map from the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple linking number that classify the link up to link homotopy correspond to the Pontryagin invariants that classify its characteristic map up to homotopy. This can be viewed as a natural extension of the familiar fact that the linking number of a two-component link in 3-space is the degree of its associate...
Downloads: 14
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